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Finding the Fourth Proportional to 3,801.23, 5,242.81 and 3,271.00

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Solution

The fourth proportional to 3,801.23, 5,242.81 and 3,271.00 is: 4,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.23 : 5,242.81 = 3,271.00 : x
  2. Step 2: Convert to fraction form
    3,801.23/5,242.81 = 3,271.00/x
  3. Step 3: Cross multiply
    3,801.23x = 5,242.81 × 3,271.00
  4. Step 4: Simplify right side
    3,801.23x = 17,149,226.19
  5. Step 5: Solve for x
    x = 17,149,226.19/3,801.23
  6. Step 6: Final answer
    x = 4,511.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.